What is the Greatest Common Factor of 57456 and 57475?

Greatest common factor (GCF) of 57456 and 57475 is 19.

GCF(57456,57475) = 19

We will now calculate the prime factors of 57456 and 57475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57456 and 57475.

How to find the GCF of 57456 and 57475?

We will first find the prime factorization of 57456 and 57475. After we will calculate the factors of 57456 and 57475 and find the biggest common factor number .

Step-1: Prime Factorization of 57456

Prime factors of 57456 are 2, 3, 7, 19. Prime factorization of 57456 in exponential form is:

57456 = 2⁴ × 3³ × 7¹ × 19¹

Step-2: Prime Factorization of 57475

Prime factors of 57475 are 5, 11, 19. Prime factorization of 57475 in exponential form is:

57475 = 5² × 11² × 19¹

Step-3: Factors of 57456

List of positive integer factors of 57456 that divides 57456 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 19, 21, 24, 27, 28, 36, 38, 42, 48, 54, 56, 57, 63, 72, 76, 84, 108, 112, 114, 126, 133, 144, 152, 168, 171, 189, 216, 228, 252, 266, 304, 336, 342, 378, 399, 432, 456, 504, 513, 532, 684, 756, 798, 912, 1008, 1026, 1064, 1197, 1368, 1512, 1596, 2052, 2128, 2394, 2736, 3024, 3192, 3591, 4104, 4788, 6384, 7182, 8208, 9576, 14364, 19152, 28728

Step-4: Factors of 57475

List of positive integer factors of 57475 that divides 57456 without a remainder.

1, 5, 11, 19, 25, 55, 95, 121, 209, 275, 475, 605, 1045, 2299, 3025, 5225, 11495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57456 and 57475. The biggest common factor number is the GCF number.
So the greatest common factor 57456 and 57475 is 19.

Also check out the Least Common Multiple of 57456 and 57475